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Finding the Fourth Proportional to 6,485.82, 9,728.32 and 3,196

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Solution

The fourth proportional to 6,485.82, 9,728.32 and 3,196 is: 4,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.82 : 9,728.32 = 3,196 : x
  2. Step 2: Convert to fraction form
    6,485.82/9,728.32 = 3,196/x
  3. Step 3: Cross multiply
    6,485.82x = 9,728.32 × 3,196
  4. Step 4: Simplify right side
    6,485.82x = 31,091,710.72
  5. Step 5: Solve for x
    x = 31,091,710.72/6,485.82
  6. Step 6: Final answer
    x = 4,793.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.